Details

Time bar (total: 1.2s)

sample69.0ms

Algorithm
intervals
Results
14.0ms195×body80valid
11.0ms28×body2560valid
11.0ms34×body1280valid
7.0ms97×body80nan
4.0ms19×body640valid
1.0msbody5120valid
1.0msbody320valid
0.0msbody160valid

simplify131.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
014365
125365
243325
377325
491325
599325
6101325
7102325
done102325

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.7b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) 2.0) a)
0.8b
(- (* b b) (* 4.0 (* a c)))
0.9b
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)
21.7b
(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
135×add-sqr-sqrt
108×*-un-lft-identity
82×add-cube-cbrt
28×sqrt-prod
26×difference-of-squares
22×associate-/l*
19×prod-diff
13×distribute-lft-out--
add-cbrt-cube add-exp-log
add-log-exp
fma-neg
pow1 div-inv
expm1-log1p-u log1p-expm1-u
cbrt-undiv associate-/r* flip3-- div-exp flip--
sub-neg sqrt-div diff-log div-sub
rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 183
Calls
4 calls:
69.0ms
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) 2.0) a)
14.0ms
(- (* b b) (* 4.0 (* a c)))
60.0ms
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)
8.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series462.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) 2.0) a)
69.0ms
(- (* b b) (* 4.0 (* a c)))
133.0ms
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)
124.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

simplify368.0ms

Iterations

Useful iterations: 0 (104.0ms)

IterNodesCost
0319102660